The absolute minimum of $f ( x , y ) = 2 x + 2 y - x ^ { 2 } - y ^ { 2 } + 2$ on or inside the triangle with vertices (0, 0), (9, 0), and (0,9) is

A)-69
B)-61
C)-56
D)-51
E)-47

Question

The absolute minimum of $f ( x , y ) = 2 x + 2 y - x ^ { 2 } - y ^ { 2 } + 2$ on or inside the triangle with vertices (0, 0), (9, 0), and (0,9) is

A)-69
B)-61
C)-56
D)-51
E)-47

Quizplus · Accepted Answer

The Answer of The absolute minimum of $f ( x , y ) = 2 x + 2 y - x ^ { 2 } - y ^ { 2 } + 2$ on or inside the triangle with vertices (0, 0), (9, 0), and (0,9) is

A)-69
B)-61
C)-56
D)-51
E)-47

The Absolute Minimum Of f(x,y)=2x+2y−x2−y2+2f ( x , y ) = 2 x + 2 y - x ^ { 2 } - y ^ { 2 } + 2f(x,y)=2x+2y−x2−y2+2

The Absolute Minimum Of $f ( x , y ) = 2 x + 2 y - x ^ { 2 } - y ^ { 2 } + 2$